If a ring costs a jeweler \( \$ 1400 \), at what price should it be sold to yield a profit of \( 50 \% \) on the selling price? \$ \( \square \)

To determine the selling price that yields a **50% profit on the selling price**, let's break down the problem: 1. **Definitions:** - **Cost Price (C):** \$1,400 - **Selling Price (S):** The price we need to find. - **Profit (P):** \( S - C \) 2. **Understanding the Profit Percentage:** - A **50% profit on the selling price** means: \[ P = 0.5 \times S \] - Substituting the profit definition: \[ S - C = 0.5 \times S \] \[ S - 1,400 = 0.5S \] 3. **Solving for \( S \):** \[ S - 0.5S = 1,400 \] \[ 0.5S = 1,400 \] \[ S = \frac{1,400}{0.5} = 2,800 \] 4. **Verification:** - **Profit:** \( 2,800 - 1,400 = 1,400 \) - **Profit Percentage on Selling Price:** \( \frac{1,400}{2,800} \times 100\% = 50\% \) **Final Answer:** The ring should be sold for **\$2,800** to achieve a 50% profit on the selling price. **Answer:** $\boxed{2800}$